Finding the Third Proportional to 37,636 and 56,518

Step by Step Solution

1. Step 1: Write the proportion equation
   37,636 : 56,518 = 56,518 : x
2. Step 2: Convert to fraction form
   37,636/56,518 = 56,518/x
3. Step 3: Cross multiply
   37,636x = 56,518 × 56,518
4. Step 4: Simplify right side
   37,636x = 3,194,284,324
5. Step 5: Solve for x
   x = 3,194,284,324/37,636
6. Step 6: Final answer
   x = 84,873.11